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{'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 1], [19, -1]], 'atkin_lehner_string': '-++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, 2, 1]], [11, [-12, 0, 1]], [13, [-4, 1]], [17, [22, 10, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482049384, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '9576.2.a.bf', 'level': 9576, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '9576.2.a.bf', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{5}-q^{7}+2\\beta q^{11}+4q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9576.2.a', 'trace_display': [0, 0, -2, -2], 'trace_hash': 35046403561259488, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.046', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [6, 7, 7, 6, 12, 9, 9, 12, 6, 7, 7, 6, 9, 11, 11, 9], 'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1889, 'dim': 134, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33564008, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '9576.2.a', 'level': 9576, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 1952, 'mf_new_dim': 134, 'num_forms': 67, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 134, 'sturm_bound': 3840, 'trace_bound': 17, 'trace_display': [0, 0, 4, 0], 'traces': [134, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 134, 0, 0, 0, -4, 0, 16, 0, 0, 0, -12, 0, 4, 0, 0, 0, -4, 0, 20, 0, 0, 0, 0, 0, 134, 0, 0, 0, -20, 0, 16, 0, 0, 0, 16, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, -24, 0, 12, 0, 0, 0, 8, 0, 40, 0, 0, 0, 32, 0, -24, 0, 0, 0, -20, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 12, 0, 88, 0, 0, 0, -8, 0, 44, 0, 0, 0, 20, 0, 64, 0, 0, 0, 0, 0, 66, 0, 0, 0, -24, 0, -32, 0, 0, 0, -40, 0, -2, 0, 0, 0, -8, 0, -56, 0, 0, 0, 64, 0, -64, 0, 0, 0, 12, 0, 16, 0, 0, 0, -24, 0, 4, 0, 0, 0, 16, 0, 108, 0, 0, 0, 40, 0, 42, 0, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, 44, 0, 0, 0, -24, 0, -48, 0, 0, 0, 0, 0, 12, 0, 0, 0, 76, 0, 104, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 24, 0, -24, 0, 0, 0, 16, 0, -72, 0, 0, 0, 0, 0, -44, 0, 0, 0, 64, 0, 24, 0, 0, 0, 72, 0, -12, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 16, 0, 0, 0, 72, 0, -16, 0, 0, 0, 12, 0, -24, 0, 0, 0, -96, 0, -28, 0, 0, 0, 12, 0, -8, 0, 0, 0, 0, 0, 58, 0, 0, 0, 28, 0, -80, 0, 0, 0, 136, 0, -8, 0, 0, 0, -96, 0, -72, 0, 0, 0, -128, 0, 36, 0, 0, 0, -100, 0, -24, 0, 0, 0, -24, 0, 116, 0, 0, 0, 20, 0, 88, 0, 0, 0, 32, 0, -44, 0, 0, 0, 136, 0, 0, 0, 0, 0, -80, 0, 108, 0, 0, 0, -20, 0, -8, 0, 0, 0, -56, 0, 134, 0, 0, 0, 80, 0, -16, 0, 0, 0, 0, 0, 108, 0, 0, 0, -112, 0, 104, 0, 0, 0, -88, 0, -8, 0, 0, 0, 20, 0, -56, 0, 0, 0, 24, 0, 12, 0, 0, 0, 92, 0, 88, 0, 0, 0, 16, 0, -36, 0, 0, 0, 0, 0, 80, 0, 0, 0, -8, 0, 28, 0, 0, 0, 164, 0, -4, 0, 0, 0, 32, 0, 76, 0, 0, 0, 0, 0, -96, 0, 0, 0, 44, 0, 176, 0, 0, 0, 132, 0, -72, 0, 0, 0, -32, 0, -104, 0, 0, 0, 100, 0, 40, 0, 0, 0, 24, 0, 16, 0, 0, 0, 144, 0, 16, 0, 0, 0, -120, 0, -144, 0, 0, 0, 24, 0, 16, 0, 0, 0, -120, 0, 80, 0, 0, 0, -16, 0, 68, 0, 0, 0, 176, 0, 80, 0, 0, 0, 196, 0, 88, 0, 0, 0, 128, 0, 48, 0, 0, 0, -68, 0, -104, 0, 0, 0, -144, 0, 86, 0, 0, 0, 104, 0, -8, 0, 0, 0, -12, 0, -100, 0, 0, 0, -160, 0, -64, 0, 0, 0, -8, 0, 0, 0, 0, 0, -84, 0, -32, 0, 0, 0, 32, 0, 240, 0, 0, 0, 76, 0, 60, 0, 0, 0, 120, 0, -84, 0, 0, 0, 0, 0, 40, 0, 0, 0, -96, 0, -40, 0, 0, 0, 140, 0, 24, 0, 0, 0, 128, 0, 4, 0, 0, 0, -220, 0, 152, 0, 0, 0, 40, 0, 28, 0, 0, 0, -56, 0, -8, 0, 0, 0, 16, 0, 134, 0, 0, 0, -88, 0, -88, 0, 0, 0, -64, 0, 4, 0, 0, 0, -172, 0, 0, 0, 0, 0, 40, 0, -48, 0, 0, 0, 52, 0, -168, 0, 0, 0, 112, 0, -116, 0, 0, 0, 12, 0, -304, 0, 0, 0, 88, 0, 52, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 376, 0, 0, 0, 176, 0, -272, 0, 0, 0, 88, 0, 8, 0, 0, 0, 292, 0, 0, 0, 0, 0, -16, 0, -4, 0, 0, 0, -16, 0, 32, 0, 0, 0, 176, 0, -24, 0, 0, 0, -12, 0, 16, 0, 0, 0, -88, 0, -140, 0, 0, 0, -8, 0, 164, 0, 0, 0, 144, 0, -120, 0, 0, 0, -48, 0, -152, 0, 0, 0, 288, 0, 36, 0, 0, 0, -156, 0, 48, 0, 0, 0, -8, 0, -60, 0, 0, 0, -92, 0, 96, 0, 0, 0, -60, 0, 64, 0, 0, 0, -24, 0, -280, 0, 0, 0, 32, 0, -96, 0, 0, 0, 20, 0, -16, 0, 0, 0, 72, 0, 16, 0, 0, 0, 40, 0, -40, 0, 0, 0, -344, 0, -48, 0, 0, 0, -124, 0, -104, 0, 0, 0, 280, 0, -116, 0, 0, 0, 4, 0, -216, 0, 0, 0, 128, 0, 14, 0, 0, 0, 308, 0, -112, 0, 0, 0, -112, 0, -124, 0, 0, 0, 116, 0, 24, 0, 0, 0, 24, 0, 120, 0, 0, 0, -296, 0, -88, 0, 0, 0, -48, 0, 84, 0, 0, 0, 116, 0, 212, 0, 0, 0, 184, 0, -96, 0, 0, 0, 40, 0, 256, 0, 0, 0, 232, 0, 128, 0, 0, 0, 72, 0, 80, 0, 0, 0, -152, 0, 176, 0, 0, 0, 16, 0, -32, 0, 0, 0, -320, 0, 252, 0, 0, 0, 252, 0, 0, 0, 0, 0, -56, 0, 116, 0, 0, 0, -44, 0, -48, 0, 0, 0, 12, 0, 40, 0, 0, 0, 84, 0, 120, 0, 0, 0, 0, 0, 126, 0, 0, 0, 248, 0, -96, 0, 0, 0, 176, 0, 32, 0, 0, 0, -76, 0, -104, 0, 0, 0, 200, 0, 104, 0, 0, 0, -40, 0, 336, 0, 0, 0, -68, 0, -108, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1437982
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': True, 'source_label': '9576.2.a.bf', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': True, 'target_label': '9576.2.a.bf', 'target_level': 9576, 'twist_class_label': '9576.2.a.bf', 'twist_class_level': 9576, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1437983
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': True, 'source_label': '9576.2.a.bf', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 44, 'target_is_minimal': True, 'target_label': '9576.2.a.br', 'target_level': 9576, 'twist_class_label': '9576.2.a.bf', 'twist_class_level': 9576, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5067000
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482049384, 'p': 2}
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id: 5067001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482049384, 'p': 3}
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id: 5067002
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 5}
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id: 5067003
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482049384, 'p': 7}
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id: 5067004
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 11}
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id: 5067005
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 139611588482049384, 'p': 13}
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id: 5067006
{'charpoly_factorization': [[[22, 10, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 17}
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id: 5067007
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 139611588482049384, 'p': 19}
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id: 5067008
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 23}
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id: 5067009
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 29}
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id: 5067010
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 31}
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id: 5067011
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 37}
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id: 5067012
{'charpoly_factorization': [[[52, 16, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 41}
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id: 5067013
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 43}
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id: 5067014
{'charpoly_factorization': [[[-66, -6, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 47}
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id: 5067015
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 53}
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id: 5067016
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 139611588482049384, 'p': 59}
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id: 5067017
{'charpoly_factorization': [[[52, -16, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 61}
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id: 5067018
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 139611588482049384, 'p': 67}
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id: 5067019
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 71}
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id: 5067020
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 73}
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id: 5067021
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 79}
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id: 5067022
{'charpoly_factorization': [[[-2, 10, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 83}
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id: 5067023
{'charpoly_factorization': [[[-108, 0, 1], 1]], 'hecke_orbit_code': 139611588482049384, 'p': 89}
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id: 5067024
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 139611588482049384, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '9576.2.a.bf', 'level': 9576, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68961829
{'hecke_orbit_code': 139611588482049384, 'n': 1, 'trace_an': 2}
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id: 68961830
{'hecke_orbit_code': 139611588482049384, 'n': 2, 'trace_an': 0}
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id: 68961831
{'hecke_orbit_code': 139611588482049384, 'n': 3, 'trace_an': 0}
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id: 68961832
{'hecke_orbit_code': 139611588482049384, 'n': 4, 'trace_an': 0}
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id: 68961833
{'hecke_orbit_code': 139611588482049384, 'n': 5, 'trace_an': -2}
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id: 68961834
{'hecke_orbit_code': 139611588482049384, 'n': 6, 'trace_an': 0}
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id: 68961835
{'hecke_orbit_code': 139611588482049384, 'n': 7, 'trace_an': -2}
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id: 68961836
{'hecke_orbit_code': 139611588482049384, 'n': 8, 'trace_an': 0}
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id: 68961837
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